Multiple Choice
Identify the choice that best completes the statement or
answers the question.
|
|
|
1.
|
What is the domain of the function  ?
|
|
|
2.
|
The expression  is equivalent
to
|
|
|
3.
|
The solution set of 
is
|
|
|
4.
|
The roots of the equation 
are
|
|
|
5.
|
Which graph represents a one-to-one function?
|
|
|
6.
|
The diagram below shows the construction of the
perpendicular bisector of 
Which statement is not true?
|
|
|
7.
|
The diagram below illustrates the construction of  parallel to  through point
P.
Which statement justifies this
construction?
|
|
|
8.
|
The vertices of  are 
 and  Which
conclusion can be made about the angles of  ?
|
|
|
9.
|
Point A is located at  . The
point is reflected in the x-axis. Its image is located at
|
|
|
10.
|
What is the slope of a line perpendicular to the line whose
equation is  ?
|
|
|
11.
|
In the diagram below of right triangle ACB, altitude
 is drawn to hypotenuse  .
If  and  ,
what is the length of  ?
|
|
|
12.
|
The pentagon in the diagram below is formed by five
rays.
What is the degree measure of angle
x?
|
|
|
13.
|
A transversal intersects two lines. Which condition
would always make the two lines parallel?
A) | Vertical angles are congruent. | C) | Corresponding angles are supplementary. | B) | Alternate interior angles are congruent. | D) | Same-side interior angles
are complementary. |
|
|
|
14.
|
Which diagram shows the construction of an equilateral
triangle?
|
|
|
15.
|
Which transformation can map the letter S onto itself?
A) | glide reflection | C) | line
reflection | B) | translation | D) | rotation |
|
|
|
16.
|
In isosceles trapezoid ABCD,  . If  ,  , and  ,
what is the length of the altitude of the trapezoid?
|
|
|
17.
|
Point A is not contained in plane B. How many lines
can be drawn through point A that will be perpendicular to plane B?
A) | one | B) | two | C) | zero | D) | infinite |
|
|
|
18.
|
If a line segment has endpoints  and  , what are the coordinates of the midpoint of  ?
|
|
|
19.
|
From January 3 to January 7, Buffalo recorded the following
daily high temperatures: 5°, 7°, 6°, 5°, and 7°. Which statement about
the temperatures is true?
A) | mean = median | C) | median =
mode | B) | mean = mode | D) | mean <
median |
|
|
|
20.
|
Which polynomial is the quotient
of  ?
|
|
|
21.
|
If the length of a rectangular
prism is doubled, its width is tripled, and its height remains the same, what is the volume of the
new rectangular prism?
A) | double the original
volume | C) | six times the original
volume | B) | triple the original volume | D) | nine times the original volume |
|
|
|
22.
|
If a is an odd number, b an even number, and
c an odd number, which expression will always be equivalent to an odd number?
|
|
|
23.
|
Which expression is rational?
|
|
|
24.
|
Which letter below has point symmetry, but does not
have line symmetry?
|
|
|
25.
|
A certain car comes in three body styles with a choice of
two engines, a choice of two transmissions, and a choice of six colors. What is the minimum
number of cars a dealer must stock to have one car of every possible combination?
|
|
|
26.
|
If  is less than  , and  is less than  , then e is
A) | less than c | C) | less than
d | B) | equal to c | D) | greater than
d |
|
|
|
27.
|
What is the smallest integer greater than 1 that is both the
square of an integer and the cube of an integer?
|
|
|
28.
|
During each marking period, there are five tests. If
Vanita needs a 65 average to pass this marking period and her first four grades are 60, 72, 55, and
80, what is the lowest score she can earn on the last test to have a passing
average?
|
|
|
29.
|
Which expression is a factor of  ?
|
|
|
30.
|
If the circumference of a circle is doubled, the diameter of
the circle
A) | remains the same | C) | is multiplied
by 4 | B) | increases by 2 | D) | is
doubled |
|
|
|
31.
|
The number 0.14114111411114 . . . is
A) | integral | C) | irrational | B) | rational
| D) | whole |
|
|
|
32.
|
The expression  is equivalent to a positive
integer when b is equal to
A) |  | C) | 16 | B) | 54 | D) | 4 |
|
|
|
33.
|
Which ordered pair satisfies the system of equations
below?
|
|
|
34.
|
Which statement describes the lines whose equations are  and  ?
A) | They are segments. | C) | They intersect
each other. | B) | They are perpendicular to
each other. | D) | They are parallel to each other. |
|
|
|
35.
|
If the product of x and  is  , then x is equivalent to
|
|
|
36.
|
The population growth of Boomtown is shown in the
accompanying graph.
If the same pattern of population growth continues, what
will the population of Boomtown be in the year 2020?
A) | 20,000 | C) | 40,000 | B) | 32,000 | D) | 64,000 |
|
|
|
37.
|
Which geometric shape does not have any lines of
symmetry?
|
|
|
38.
|
The sum of  and 
is
|
|
|
39.
|
The accompanying diagram shows a ramp 30 feet long leaning
against a wall at a construction site.
If the ramp forms an angle of 32° with the ground,
how high above the ground, to the nearest tenth, is the top of the ramp?
A) | 15.9 ft | C) | 25.4
ft | B) | 18.7 ft | D) | 56.6
ft |
|
|
|
40.
|
Line segment AB has a slope of  . If the coordinates of point A are  , the
coordinates of point B could be
|
|
|
41.
|
Which event has a probability of zero?
A) | choosing a letter from the alphabet that has line
symmetry | C) | choosing a pair of parallel lines that have unequal
slopes | B) | choosing a number that is greater than 6 and is
even | D) | choosing a triangle that is both isosceles and
right |
|
|
|
42.
|
Which equation expresses the relationship between x and y,
as shown in the accompanying table?
|
|
|
43.
|
On a map, 1 cm represents 3 km. How many km long is a
road that is  cm long on the map?
|
|
|
44.
|
Andy drives 80 miles to get to the Thruway, drives 100 miles
on the Thruway, and then drives an additional 75 miles after leaving the Thruway. If the entire
trip took 5 hours and he made no stops, what was his average speed, in miles per hour?
|
|
|
45.
|
An ice cream cone manufacturer wants to increase the capacity of its sugar cones
by 40%. Which change in dimensions will achieve this goal?  A) | Multiply the radius of the cone by 40. | B) | Multiply both the radius and the height of the
cone by 1.4. | C) | Multiply the diameter of the cone by 0.4. | D) | Multiply the height
of the cone by 1.4. |
|
|
|
46.
|
Ralph mixes paint for his art projects in a can with the dimensions shown below.
If he wants to be able to mix 70% more paint in the can, which of the following changes in dimensions
will accomplish this?  A) | Multiply the height of the can by 0.7. | B) | Multiply the radius of the can by
0.7. | C) | Multiply the diameter of the can by 1.7. | D) | Multiply the height
of the can by 1.7. |
|
|
|
47.
|
Some electricians charge a flat rate to come to a house to look at a problem and
then an hourly rate depending upon how many hours the problem takes to fix. One electrician charges a
flat fee of $55 to come to the house, $20 per hour, and the cost of all materials. If h
represents the number of hours that the electrician spent fixing the problem, C represents the
total charge, and m represents the cost of materials, which of the following equations shows
how to determine the total fee charged?
|
|
|
48.
|
The test scores on Mr. Lebowski’s midterm exam are displayed in the
box-and-whisker plot below. Which of the following statements is a correct interpretation of the
plot? Midterm Exam
Grades |  | |
A) | The lowest grade earned on the exam was 56. | B) | The mean grade for
the exam was 76. | C) | The highest grade earned on the exam was 97. | D) | The median grade for
the exam was 87. |
|
|
|
49.
|
The number of absent students at Fairview Middle School is shown for each
month of the school year below. Which of the following measures would make the monthly absentee rate
appear as small as possible? Month | Absent
Students | | September | 15 | | October | 13 | | November | 11 | | December | 16 | | January | 24 | | February | 19 | | March | 8 | | April | 8 | | May | 6 | | |
A) | mean | C) | range | B) | mode | D) | median |
|
|
|
50.
|
The performance review scores for several employees in a work group are shown in
the table. Which of the following measures would make the average score appear as high as
possible? Employee
I.D.
Number | Performance
Review
Score | 101 | 86 | 102 | 90 | 103 | 87 | 104 | 77 | 105 | 78 | 106 | 72 | 107 | 84 | 108 | 87 | | |
A) | mean | C) | mode | B) | median | D) | range |
|
|
|
The bar graph below shows several students’ responses to a survey
that asked what kinds of pets they have in their homes. Some students may have more than one kind of
pet.
Kinds of
Pets |   | |
|
|
|
51.
|
According to the graph above, which of the following could be the number of
students surveyed?
|
|
|
52.
|
The following graph shows the weights of four bags of dog food. Which of the
following statements best describes why the graph might be considered misleading? Dog Food
Comparison |   | |
A) | There is a break in the horizontal axis of the graph. | B) | The scale of the
vertical axis is too great. | C) | The widths of the bars on the graph are not the
same. | D) | There are no labels on the horizontal axis. |
|
|
|
53.
|
The box-and-whisker plot shows the recorded high temperatures in Jim’s
city last month. Which of the following would be the most accurate measures of central tendency for
the data? High Temperatures
(°F) |  | |
A) | the median or mode | C) | the mean or range | B) | the mode or range | D) | the mean or
median |
|
|
|
54.
|
The table shows the number of turnovers committed by the Fairfield
High School basketball team during their first 8 games. Which of the following measures
would make the team’s average number of turnovers per game appear the lowest? A) | range | C) | mode | B) | mean | D) | median |
|
|
|
55.
|
Which of the following equations represents a line segment that is perpendicular
to the segment in the graph?  A) | y =  x | C) | y =  x – 5 | B) | y =  x + 3 | D) | y =  x + 6 |
|
|
|
56.
|
What transformation would describe the relationship between
Triangle A and Triangle B?  A) | rotation | C) | reflection | B) | dilation | D) | slide |
|
|
|
57.
|
Which of the following expressions could be used to determine the shaded area of
the figure?  A) |  square feet | C) |  square
feet | B) |  square feet | D) |  square
feet |
|
|
|
58.
|
A sketch of the city park in Bubbling Springs is shown below.  A fountain was installed in the circular pool in the middle of the park. The city must
purchase grass seed to plant grass on the remainder of the square parkland. Using the dimensions on
the sketch, which of the following expressions could be used to determine the area of the grass in
the park?
|
|
|
59.
|
A sketch of the city pond in Centerville is shown below.  A small island was made in the middle of the pond. The city must now fill the pond
with fish. Using the dimensions on the sketch, which of the following expressions could be used to
determine the area of the water to be stocked with fish?
|
|
|
60.
|
What is a number that would appear between 1.3 and  on the
number line?
|
|
|
Five points are plotted on the number line as shown
below.
|
|
|
61.
|
Refer to the number line above. Which two points will result in a negative
number when multiplied together?
A) | A and A | C) | C and B | B) | E and
E | D) | E and
A |
|